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Series : University Series in Mathematics

Computability and Models

Perspectives East and West

Computability and Models
Author
Cooper, S. Barry/ Goncharov, Sergey S. 
Publisher
Kluwer Academic Publishers 
Publication Date
Feb, 2003 
ISBN
030647400X or 9780306474002
HARDCOVER 
375 Pages
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¥ 20,529 (tax included)

Description

There are few notions as fundamental to contemporary science as those of computability and modelling. Computability and Models attempts to make some of the exciting and important new research developments in this area accessible to a wider readership. Written by international leaders drawn from major research centres both East and West, this book is an essential addition to scientific libraries serving both specialist and the interested non-specialist reader.

Contents

Preface. Contributing Authors. Introduction; P. Odifreddi. Truth-Table Complete Computably Enumerable Sets; M.M. Arslanov. Completeness and Universality of Arithmetical Numbering; S. Badaev, et al. Algebraic Properties of Rogers Semilattices of Arithmetical Numberings; S. Badaev, et al. Isomorphism Types and Theories of Rogers Semilattices of Arithmetical Numberings; S. Badaev, et al. Computability over Topological Structures; V. Brattka. Incomputability In Nature; S.B. Cooper, P. Odifreddi. Gems in the Field of Bounded Queries; W. Gasarch. Finite End Intervals in Definable Quotients of Epsilon; E. Herrmann. A Tour of Robust Learning; S. Jain, F. Stephan. On Primitive Recursive Permutations; I. Kalimullin. On Self-Embeddings of Computable Linear Orders; S. Lempp, et al. Definable Relations on the Computably Enumerable Degrees; A. Li. Quasi-Degrees of Recursively Enumerable Sets; R.Sh. Omanadze. Positive Structures; V. Selivanov. Local Properties of the Non-Total Enumeration Degrees; B. Solon. References.

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